Nonlinear analysis of cable-supported structures with a spatial catenary cable element

Vu, Tan Van; Lee, Hak Eun; Bui, Quoc Tinh

doi:10.12989/sem.2012.43.5.583

Cited by 14 publications

(4 citation statements)

References 26 publications

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“…7). The space two-node catenary cable element is adopted, wherein both the 'self weight' and 'pretension' effects are taken into account in derivation of the stiffness matrix (Vu et al, 2012). This element is good not only for simulating cables with small sags (i.e., large pretensions), but also cables with large sags (i.e., small pretensions).…”

Section: Flutter Analysis Using the Experimental Flutter Derivativesmentioning

confidence: 99%

Coupled flutter analysis of long-span bridges using full set of flutter derivatives

Kim

Lee³

2015

KSCE J Civ Eng

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A convenient and effective finite element-based method for coupled flutter analysis of long-span bridges is presented. The exact formulation of the aerodynamic self-excited forces with eighteen flutter derivatives utilized by complex notation is proposed. The predictions of the flutter wind speed and the critical frequency are compared with those either given by existing methods or the wind tunnel test showing the effectiveness and accuracy of the present approach. Numerical flutter analysis for an asymmetric bridge is the application for engineering practice, and its obtained results highlight the important role of the first lateral bending and torsional mode in generating the coupled flutter. Multi-mode analyses that are based on only the symmetrical modes can predict accurately the bridge flutter onset. The consistent self-excited aerodynamic force formulations produce the flutter velocity that is closer to the experimental one of full-bridge model in the wind tunnel.

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Section: Flutter Analysis Using the Experimental Flutter Derivativesmentioning

confidence: 99%

Coupled flutter analysis of long-span bridges using full set of flutter derivatives

Kim

Lee³

2015

KSCE J Civ Eng

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“…Many works were devoted to the refined calculation of cables [50][51][52]. The behaviour and calculations of cables or their systems arranged in space were also analysed [53,54]. Theoretical and experimental studies of a levy hinged-beam cable dome were conducted [55].…”

Section: Introductionmentioning

confidence: 99%

Non-Linear Behaviour and Analysis of Innovative Suspension Steel Roof Structures

Juozapaitis,

Daniūnas,

Ustinovichius

2024

Buildings

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Suspension structures are one of the most effective roof load-bearing structures for medium to long spans. Their shape under symmetric loads is usually a square parabola or a curve close to it. The biggest drawback of such structures is their increased deformability under asymmetric loads. So-called rigid cables are used to solve this problem. However, the production of such rigid cables with a curvilinear shape is complicated, and their maintenance also has drawbacks due to the above-mentioned shape. To avoid these shortcomings, straight-line suspension structures have been used. This paper proposes a new form of combined suspension roof structures consisting of main load-bearing straight suspension elements supported by cable struts. For the main suspension elements, the bending stiffness is accepted, taking into account the operational requirements of the structure. This article analyses the behaviour of such a combined suspension structural system in symmetric conditions with an innovative approach. The arrangements of this system are discussed. The calculation of the forces and displacements of this structure and its elements is presented, taking into account the geometrical nonlinear behaviour. The distribution of the forces in the rigid elements and node displacements of the structure are discussed. The proposed new form of a combined cable-supported roof structure was shown to be more effective in terms of weight than the standard parabolic-shaped suspension structure.

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“…model. An efficient spatial catenary cable element for the nonlinear analysis of cable-supported structures is proposed in [12], while nonlinear dynamics of a cable coupled to a horizontal beam as a simplified model of a cable-stayed bridge is considered in [13], founding the evaluations on the model proposed in [14]. Besides nonlinear dynamic analysis, exact static equations considering also the Poisson effect are obtained in [15], where a numerical procedure is suggested in the case of a generic load, while the catenary solution is evaluated when the sole weight is applied.…”

Section: Introductionmentioning

confidence: 99%

Statics of Shallow Inclined Elastic Cables under General Vertical Loads: A Perturbation Approach

Luongo

Zulli

2018

Mathematics

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Abstract:The static problem for elastic shallow cables suspended at points at different levels under general vertical loads is addressed. The cases of both suspended and taut cables are considered. The funicular equation and the compatibility condition, well known in literature, are here shortly re-derived, and the commonly accepted simplified hypotheses are recalled. Furthermore, with the aim of obtaining simple asymptotic expressions with a desired degree of accuracy, a perturbation method is designed, using the taut string solution as the generator system. The method is able to solve the static problem for any distributions of vertical loads and shows that the usual, simplified analysis is just the first step of the perturbation procedure proposed here.

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Nonlinear analysis of cable-supported structures with a spatial catenary cable element

Cited by 14 publications

References 26 publications

Coupled flutter analysis of long-span bridges using full set of flutter derivatives

Coupled flutter analysis of long-span bridges using full set of flutter derivatives

Non-Linear Behaviour and Analysis of Innovative Suspension Steel Roof Structures

Statics of Shallow Inclined Elastic Cables under General Vertical Loads: A Perturbation Approach

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